Question

. Find nth term a, (general term of the A.P.) whose first term is a and
common difference is d. If pth term of an A.P. is q and the oth term is p.
prove that the nth term is (p + q - n).
[CBSE 2014]
​

Answer 1

Solution

pth term = q

a+(p−1)d=q

qth term = p

a+(q−1)d=p

• Solving these equations,

we get,

d=−1

a=(p+q−1)

Thus,

nth term = a+(n−1)d=(p+q−1)+(n−1)×(−1)

$\bold{\implies}$

=(p+q−n)

Answer 2

Answer:

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